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Finding the Fourth Proportional to 9,138.66, 12,611.36 and 4,946.91

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Solution

The fourth proportional to 9,138.66, 12,611.36 and 4,946.91 is: 6,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.66 : 12,611.36 = 4,946.91 : x
  2. Step 2: Convert to fraction form
    9,138.66/12,611.36 = 4,946.91/x
  3. Step 3: Cross multiply
    9,138.66x = 12,611.36 × 4,946.91
  4. Step 4: Simplify right side
    9,138.66x = 62,387,227.97
  5. Step 5: Solve for x
    x = 62,387,227.97/9,138.66
  6. Step 6: Final answer
    x = 6,826.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.